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Fuzzy differential subordination and superordination results for the Mittag-Leffler type Pascal distribution.

Authors :
Soren, Madan Mohan
Cotîrla, Luminiţa-Ioana
Source :
AIMS Mathematics; 2024, Vol. 9 Issue 8, p21053-21078, 26p
Publication Year :
2024

Abstract

In this paper, we derive several fuzzy differential subordination and fuzzy differential superordination results for analytic functions M<superscript>s,γ</superscript><subscript>ξ,β</subscript>, which involve the extended Mittag-Leffler function and the Pascal distribution series. We also investigate and introduce a class MB<superscript>F,s,γ</superscript><subscript>ξ,β</subscript> (ρ) of analytic and univalent functions in the open unit disc D by employing the newly defined operator M<superscript>s,γ</superscript><subscript>ξ,β</subscript>. We determine a specific relationship of inclusion for this class. Further, we establish prerequisites for a function role in serving as both the fuzzy dominant and fuzzy subordinant of the fuzzy differential subordination and superordination, respectively. Some novel results that are sandwich-type can be found here. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
8
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
178904302
Full Text :
https://doi.org/10.3934/math.20241023